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Applicable Analysis
An International Journal
Volume 100, 2021 - Issue 1
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Articles

Stress distribution near a penny-shaped crack on an off-diametral plane in a sphere

Pages 61-74 | Received 25 Feb 2019, Accepted 27 Feb 2019, Published online: 19 Mar 2019

References

  • Srivastava KN, Dwivedi JP. The effect of a penny-shaped crack on the distribution of stress in an elastic sphere. Int J Eng Sci. 1971;9:399–420. doi: 10.1016/0020-7225(71)90060-7
  • Dhaliwal RS, Rokne JG, Singh BM. Penny-shaped crack in a sphere embedded in an infinite medium. Int J Eng Sci. 1979;17:259–269. doi: 10.1016/0020-7225(79)90089-2
  • Srivastav RP, Narain P. Some mixed boundary value problems for regions with spherical boundary. J Math Mech. 1965;14:613–627.
  • Shindo Y, Himemiya T. Singular stresses in an elastic sphere having an annular crack. ZAMM. 1982;62(7):291–300. doi: 10.1002/zamm.19820620703
  • Xiao ZM, Pae KD. The interaction between a penny-shaped crack and a spherical inhomogeneity in an infinite solid under uniaxial tension. Acta Mech. 1991;90:91–104. doi: 10.1007/BF01177402
  • Rokne JG, Dhaliwal RS, Singh BM. Thermal stresses near a penny-shaped crack in an elastic sphere embedded in an infinite elastic space. Int J Eng Sci. 1980;18(5):681–701. doi: 10.1016/0020-7225(80)90103-2
  • Lur'e AI. Three-dimensional problems of theory of elasticity. New York: Interscience; 1964.
  • Sneddon IN. Fourier transforms. New York: McGraw-Hill; 1951.
  • Erdélyi A, Magnus W, Oberhettinger F, et al. Tables of integral transforms. Vol. I. New York: McGraw-Hill; 1954.
  • Whittaker ET, Watson GN. A course of modern analysis. Cambridge: Cambridge University Press; 1973.
  • Rainville ED. Special functions. New York: The Macmillan Company; 1963.

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